With the Olympics coming up in Tokyo Japan this summer. I created a scenario where there are 4 qualifying heats of 8 runners each for the 100m dash. The way to qualify for the final race is to have one of the 8 fastest times out of all of the runners from all of the heats. Of the 32 runners in the qualifying heats there are 4 from Jamaica, 3 from the USA, and 2 from Canada. A) What is the probability that exactly one runner from the USA makes it to the final? B) What is the probability that Canada wins a medal (Gold, Silver, or Bronze) in the final? C) Are the qualifying and finals mutually exclusive events? D) What is the probability of Jamaica winning all 3 medals in the final